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Search: id:A112113
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| A112113 |
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G.f. A(x) satisfies A(A(A(..(A(x))..))) = B(x) (6-th self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3,..,6}, with B(0) = 0. |
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+0
4
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| 1, 1, -4, 28, -236, 2159, -20309, 189387, -1696165, 14092143, -103605487, 621674576, -2503235595, 1311059747, 58857366823, -625935119621, 20416246154579, -595556154741631, 9331660766550500, -50486760747953952, -816026626910008666
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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A(x) = x + x^2 - 4*x^3 + 28*x^4 - 236*x^5 + 2159*x^6 +...
where A(A(A(A(A(A(x)))))) =
x + 6*x^2 + 6*x^3 + 3*x^4 + 4*x^5 + 4*x^6 + 6*x^7 + 2*x^8 +...
is the g.f. of A112112.
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PROGRAM
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(PARI) {a(n, m=6)=local(F=x+x^2+x*O(x^n), G); if(n<1, 0, for(k=3, n, G=F+x*O(x^k); for(i=1, m-1, G=subst(F, x, G)); F=F-((polcoeff(G, k)-1)\m)*x^k); return(polcoeff(F, n, x)))}
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CROSSREFS
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Cf. A112112, A112104-A112111, A112114-A112127.
Sequence in context: A030444 A093877 A151830 this_sequence A103211 A064340 A002895
Adjacent sequences: A112110 A112111 A112112 this_sequence A112114 A112115 A112116
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 27 2005
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